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Finding the Third Proportional to 98,778 and 153,182

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Solution

The third proportional to 98,778 and 153,182 is: 237,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,778 : 153,182 = 153,182 : x
  2. Step 2: Convert to fraction form
    98,778/153,182 = 153,182/x
  3. Step 3: Cross multiply
    98,778x = 153,182 × 153,182
  4. Step 4: Simplify right side
    98,778x = 23,464,725,124
  5. Step 5: Solve for x
    x = 23,464,725,124/98,778
  6. Step 6: Final answer
    x = 237,550.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.